Susanna Nanna is the production manager for a furniture manufacturing company. T

Question

Susanna Nanna is the production manager for a furniture manufacturing company. The company produces tables and chairs. Each table generates a profit of $80 and requires 4 hours of assembly time and 5 hours of finishing time. Each chair generates $50 of profit and requires 4 hours of assembly time and 3 hours of finishing time. There are 340 hours of assembly time and 250 hours of finishing time available each month. The company must fill an order for 20 tables.

Formulate the problem as a linear program ?

Explanation / Answer

Let x be the number of tables and y be the number of chairs. Then, as per the given conditions, linear programmimg problem will be:

Maximize z = 80x + 50y

Subject to the constraints

4x + 4y < 340

5x + 3y < 250

x > 20

x, y > 0

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